17 cards numbered 1,2,3........17 are put in a box and mixed thoroughly. One person draws as ard from the box. Find the probability that a number on the card is (i) odd (ii) a prime
Given, number of cards in the box = 17
∴ Total number of outcomes = 17
i)
Let A denote the event of drawing a card bearing an odd number.
Now, between 1 to 17, there are total 9 odd number as:
1, 3, 5, 7, 9, 11, 13, 15 and 17
∴ Number of favourable outcomes = 9
Required probability = P(A)
ii)
Let B denote the event of drawing a card bearing a prime number.
Now, between 1 to 17, there are total 7 prime number as:
2, 3, 5, 7, 11, 13 and 17
∴ Number of favourable outcomes = 7
Required probability = P(A)